5 citations · 35 across the 32 of their papers we have counts for
6 papers · 1 filter
Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System
S. Fournais, B. Helffer
We reconsider the elliptic estimates for magnetic operators in two and three dimensions used in connection with Ginzburg-Landau theory. Furthermore we discuss the so-called blow-up…
Subelliptic estimates for some systems of complex vector fields : quasihomogeneous case
Makhlouf Derridj, Bernard Helffer
For about twenty five years it was a kind of folk theorem that complex vector-fields defined on (with open set in ) by $$ L_j = \frac{\partia…
Nodal domains and spectral minimal partitions
B. Helffer, T. Hoffmann-Ostenhof, S. Terracini
We consider two-dimensional Schrödinger operators in bounded domains. We analyze relations between nodal domains of eigenfunctions, spectral minimal partitions and spectral propert…
Compactness of the solution operator to d-bar in weighted L^2 - spaces
Friedrich Haslinger, Bernard Helffer
In this paper we discuss compactness of the canonical solution operator to d-bar on weigthed L^2- spaces on C^n. For this purpose we apply ideas which were used for the Witten Lapl…
Strong diamagnetism for general domains and applications
S. Fournais, B. Helffer
We consider the Neumann Laplacian with constant magnetic field on a regular domain. Let be the strength of the magnetic field, and let be the first eigenvalue of the m…
Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells
Bernard Helffer, Yuri A. Kordyukov
We show that, under some very weak assumption of effective variation for the magnetic field, a periodic Schrödinger operator with magnetic wells on a noncompact Riemannian manifold…